化简 ((5^3)/(5^4))^{-3}

解答

化简

(\frac{5 ^{3}}{5 ^{4}})^{- 3}

125

求解步骤

(\frac{5 ^{3}}{5 ^{4}})^{- 3}

使用指数法则:

a^{- b} = \frac{1}{a ^{b}}

(\frac{5 ^{3}}{5 ^{4}})^{- 3} = \frac{1}{( \frac{5 ^{3}}{5 ^{4}} ) ^{3}}

= \frac{1}{( \frac{5 ^{3}}{5 ^{4}} ) ^{3}}

(\frac{5 ^{3}}{5 ^{4}})^{3} = \frac{1}{125}

= \frac{1}{\frac{1}{125}}

\frac{1}{\frac{1}{125}} = 125

= 125

x^{2} - 9 = (x + 3) (x - 3)

f a c t or x^{3} - 2 x^{2} - 3 x

3 x^{2} + x + 1 = 0

2 x = 5 x

f a c t or 2 x^{3} + x^{2} - 32 x - 16